1481265840096 has 432 divisors, whose sum is σ = 4934670210288. Its totient is φ = 420244070400.

The previous prime is 1481265840083. The next prime is 1481265840101. The reversal of 1481265840096 is 6900485621841.

1481265840096 is a `hidden beast` number, since 1 + 4 + 81 + 26 + 58 + 400 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1681345576 + ... + 1681346456.

It is an arithmetic number, because the mean of its divisors is an integer number (11422847709).

Almost surely, 2^{1481265840096} is an apocalyptic number.

1481265840096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481265840096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467335105144).

1481265840096 is an abundant number, since it is smaller than the sum of its proper divisors (3453404370192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1481265840096 is a wasteful number, since it uses less digits than its factorization.

1481265840096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1481265840096 in words is "one trillion, four hundred eighty-one billion, two hundred sixty-five million, eight hundred forty thousand, ninety-six".